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42703137792 = 21034731979
BaseRepresentation
bin100111110001010011…
…100010110000000000
311002020001111011110000
4213301103202300000
51144424000402132
631341220240000
73041136453000
oct476123426000
9132201434400
1042703137792
1117123898517
128339240000
1340470c7293
1420d15ba000
15119de8b87c
hex9f14e2c00

42703137792 has 880 divisors, whose sum is σ = 158519680000. Its totient is φ = 11412430848.

The previous prime is 42703137727. The next prime is 42703137803. The reversal of 42703137792 is 29773130724.

42703137792 is a `hidden beast` number, since 4 + 270 + 3 + 1 + 377 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 540546009 + ... + 540546087.

It is an arithmetic number, because the mean of its divisors is an integer number (180136000).

Almost surely, 242703137792 is an apocalyptic number.

42703137792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42703137792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79259840000).

42703137792 is an abundant number, since it is smaller than the sum of its proper divisors (115816542208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42703137792 is an equidigital number, since it uses as much as digits as its factorization.

42703137792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 42703137792 in words is "forty-two billion, seven hundred three million, one hundred thirty-seven thousand, seven hundred ninety-two".